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For the straight lines 4x+3y-6=0 and 5x+...

For the straight lines `4x+3y-6=0` and `5x+12 y+9=0,` find the equation of the bisector of the obtuse angle between them, bisector of the acute angle between them, and bisector of the angle which contains (1, 2)

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To find the equations of the angle bisectors between the two given lines \(4x + 3y - 6 = 0\) and \(5x + 12y + 9 = 0\), we will use the angle bisector formula. The steps are as follows: ### Step 1: Identify coefficients For the first line \(4x + 3y - 6 = 0\): - \(a_1 = 4\) - \(b_1 = 3\) - \(c_1 = -6\) ...
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